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Finding the Fourth Proportional to 512,415.65, 768,641.70 and 157,429.10

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Solution

The fourth proportional to 512,415.65, 768,641.70 and 157,429.10 is: 236,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,415.65 : 768,641.70 = 157,429.10 : x
  2. Step 2: Convert to fraction form
    512,415.65/768,641.70 = 157,429.10/x
  3. Step 3: Cross multiply
    512,415.65x = 768,641.70 × 157,429.10
  4. Step 4: Simplify right side
    512,415.65x = 121,006,571,053.47
  5. Step 5: Solve for x
    x = 121,006,571,053.47/512,415.65
  6. Step 6: Final answer
    x = 236,149.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.